Antonia Chinnì

Existence of three solutions for a perturbed two-point boundary value problem

Abstract The aim of this note is to establish the existence of three solutions for a perturbed two-point boundary value problem depending of two real parameters. The approach is based on variational methods.

Existence results of infinitely many solutions for p(x)-Laplacian elliptic Dirichlet problems

The existence of infinitely many solutions for a Dirichlet problem involving the p(x)-Laplacian is established. In our main result, under an appropriate oscillating behaviour of the nonlinearity and suitable assumptions on the variable exponent, a sequence of pairwise distinct solutions is obtained. Further, some applications and examples are pointed out. In particular, an existence result of infinitely many solutions for a two-point boundary value problem involving the variable exponent is presented. The approach is based on variational methods.

MULTIPLE SOLUTIONS FOR A QUASILINEAR ELLIPTIC VARIATIONAL SYSTEM ON STRIP-LIKE DOMAINS

We consider the quasilinear elliptic variational system \begin{alignat*} {2} -\Delta_pu\amp=\lambda F_u(x,u,v)+\mu H_u(x,u,v) \quad\amp \amp\text{in }\varOmega, \\ -\Delta_qv\amp=\lambda F_v(x,u,v)+\mu H_v(x,u,v) \amp \amp \text{in }\varOmega, \\ u\amp=v=0 \amp \amp \text{on }\partial\varOmega, \end{alignat*} where

MULTIPLICITY RESULTS FOR A PERTURBED NONLINEAR SCHR ¨ ODINGER EQUATION

\varOmega

A Two-Function Minimax Theorem

is a strip-like domain and

Infinitely Many Solutions for the Dirichlet Problem Via a Variational Principle of Ricceri

\lambda

Some remarks on a theorem on sets with connected sections

and

A well-posedness result for a class of linear difference equations

\mu

Multiple solutions for a Neumann problem involving the p(x)-Laplacian

are positive parameters. Using a recent two-local-minima theorem and the principle of symmetric criticality, existence and multiplicity are proved under suitable conditions on

Discontinuous elliptic problems involving the p(x)-Laplacian

F